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135136377 = 3333115121
BaseRepresentation
bin10000000111000…
…00010001111001
3100102021122021000
420003200101321
5234043331002
621224235213
73230432415
oct1003402171
9312248230
10135136377
116a30aa62
123930bb09
1321cc666c
1413d39d45
15bce561c
hex80e0479

135136377 has 16 divisors (see below), whose sum is σ = 200820160. Its totient is φ = 89812800.

The previous prime is 135136363. The next prime is 135136403. The reversal of 135136377 is 773631531.

It is a happy number.

135136377 is a `hidden beast` number, since 1 + 3 + 5 + 13 + 637 + 7 = 666.

It is not a de Polignac number, because 135136377 - 27 = 135136249 is a prime.

It is a super-2 number, since 2×1351363772 = 36523680777372258, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (135136277) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1377 + ... + 16497.

It is an arithmetic number, because the mean of its divisors is an integer number (12551260).

Almost surely, 2135136377 is an apocalyptic number.

It is an amenable number.

135136377 is a deficient number, since it is larger than the sum of its proper divisors (65683783).

135136377 is a wasteful number, since it uses less digits than its factorization.

135136377 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15461 (or 15455 counting only the distinct ones).

The product of its digits is 39690, while the sum is 36.

The square root of 135136377 is about 11624.8172888867. The cubic root of 135136377 is about 513.1654676379.

The spelling of 135136377 in words is "one hundred thirty-five million, one hundred thirty-six thousand, three hundred seventy-seven".

Divisors: 1 3 9 27 331 993 2979 8937 15121 45363 136089 408267 5005051 15015153 45045459 135136377